Function Festival 2000-1

An Escalator At The St. Louis Galleria

A   SLOPE   OF   m = 5/3

d(t) = (5/3)t

[ d(t) = (5/3) t ] Slope, m, is the ratio of "rise/run"

Slope = (5/3) feet per second

[ d(t) = (5/3) t ] 1. If (X2, 2) = (16, d(16)) = (16, 26.66666666667) and the slope of the line is m = 5/3 feet per second then find the numerical value of:

1-a. X1 =

1-b. Y1 =
and

1-c. t1 =





Galeria Theater Escalator

[ d(t) = (5 feet/3 second) t ] 2. Find the slope of the escalator from the picture above. Where the distance d, in feet, is along the length of the escalator, y = 16 feet is the height of the escalator and you need to calculate x = ____________ feet for the run of the escalator first.

2-a. x =

2-b. m =

and if you know some trig

2-c. tan(30) =

Galeria Theater UP Escalator


Related Concepts:    Speed     Function Notation     Y Rate     X Rate     Linear Functions     Related Rate Equations     Linear Motion     History of d = r t

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